Get premium membership and access questions with answers, video lessons as well as revision papers.
$\frac{1}{5}(x\;+\;6)\;=\;\frac{2}{3}(2\;-\;5x)\;+ \frac{3}{4}$
$\frac{x\;+\;6}{5}\;= \frac{6\;-\;40x\;+\;9}{12} =\frac{25\;-\;40x}{12}$
Cross multiply
12x + 72 = 125 - 200x
12x + 200x = 125 - 72
212x = 53;
x = $\frac{53}{212}$ = $\frac{1}{4}$
johnmulu answered the question on June 7, 2017 at 12:26
- Determine x where: (Solved)
Determine x where:
$\frac{3x}{5}\;- \frac{x\;-\;2}{3}$ = 2
Date posted: June 7, 2017. Answers (1)
- Solve for x in:(Solved)
Solve for x in:
$x\;+\;2 = \frac{5x\;-\;1}{4}-\frac{1}{2}(x\;+\;1)$
Date posted: June 7, 2017. Answers (1)
- Three years ago, a father was three times as old as his son. In three years time, the sum of their ages will be 76 years. Determine their present ages.(Solved)
Three years ago, a father was three times as old as his son. In three years time, the sum of their ages will be 76 years. Determine their present ages.
Date posted: March 10, 2017. Answers (1)
- Solve for x in:
$\frac{x-2}{3}$ - $\frac{3-x}{4}$ = $\frac{x-2}{2}$
(Solved)
Solve for x in:
$\frac{x-2}{3}$ - $\frac{3-x}{4}$ = $\frac{x-2}{2}$
Date posted: March 10, 2017. Answers (1)
- A motorist took 2$\frac{3}{4}$ hours to travel from town A to town B. If he started the journey at 10.30 a.m, determine the time the journey ended in(Solved)
A motorist took 2$\frac{3}{4}$ hours to travel from town A to town B. If he started the journey at 10.30 a.m, determine the time the journey ended in
i) 24 hour clock system.
ii) 12 hour clock system
Date posted: March 10, 2017. Answers (1)
- A mathematics speed test started at 8.40 a.m and ended at 9.20 a.m. How long was the speed test(Solved)
A mathematics speed test started at 8.40 a.m and ended at 9.20 a.m. How long was the speed test
Date posted: March 10, 2017. Answers (1)
- A metal P is an alloy of two metals Q and R. Metal Q has a mass of 70 g and a density of 16 g/cm3. Metal R has a mass of 19 g and a density of 4 g/cm3. Find the density of the alloy(Solved)
A metal P is an alloy of two metals Q and R. Metal Q has a mass of 70 g and a density of 16 g/cm3. Metal R has a mass of 19 g and a density of 4 g/cm3. Find the density of the alloy.
Date posted: March 10, 2017. Answers (1)
- A liquid has a mass of 6 200 kg and a density of 760 kg/m3. Find its volume.(Solved)
A liquid has a mass of 6 200 kg and a density of 760 kg/m3. Find its volume.
Date posted: March 10, 2017. Answers (1)
- Cheserem, Otieno and Kariuki divided 500 eggs among themselves in the ratio 14:5:6 respectively. Later, Cheserem gave 20 eggs to Otieno and 20 eggs to Kariuki. Find the ratio of eggs that they finally got(Solved)
Cheserem, Otieno and Kariuki divided 500 eggs among themselves in the ratio 14:5:6 respectively. Later, Cheserem gave 20 eggs to Otieno and 20 eggs to Kariuki. Find the ratio of eggs that they finally got
Date posted: March 10, 2017. Answers (1)
- Simplify:
$\frac{(6a + b)(a+ b) - 7b(a + b)}{2a^2 - 2b^2}$(Solved)
Simplify:
$\frac{(6a + b)(a+ b) - 7b(a + b)}{2a^2 - 2b^2}$
Date posted: March 9, 2017. Answers (1)
- Simplify: (4x + 3y + 3z) - (z - 4y + 2x)(Solved)
Simplify:
a) (4x + 3y + 3z) - (z - 4y + 2x)
b) $\frac{3(x^2 - 9)}{x + 3}$
Date posted: March 9, 2017. Answers (1)
- Use reciprocal and square tables to evaluate to 4 significant figures the expression
$\frac{1}{24.56}$ + 4.3622(Solved)
Use reciprocal and square tables to evaluate to 4 significant figures the expression
$\frac{1}{24.56}$ + 4.3622
Date posted: March 9, 2017. Answers (1)
- Kamau spend $\frac{3}{5}$ of his money on buying food and $\frac{1}{2}$ of what was left on rent. After that, he finds that he has sh 1 400 left in his pocket. Determine the amount spent on buying food.(Solved)
Kamau spend $\frac{3}{5}$ of his money on buying food and $\frac{1}{2}$ of what was left on rent. After that, he finds that he has sh 1 400 left in his pocket. Determine the amount spent on buying food.
Date posted: March 9, 2017. Answers (1)
- Evaluate $\frac{-45\div (-15\times 4 - (-38))}{-50\times 50\div 5\times (-5)}$(Solved)
Evaluate $\frac{-45\div (-15\times 4 - (-38))}{-50\times 50\div 5\times (-5)}$
Date posted: March 9, 2017. Answers (1)
- Express the numbers 20, 40 and 80 each as a product of its prime factors. Hence find the L.C.M of the numbers in factor form(Solved)
Express the numbers 20, 40 and 80 each as a product of its prime factors. Hence find the L.C.M of the numbers in factor form
Date posted: March 9, 2017. Answers (1)
- Write twenty million, four hundred and thirty one thousand, four hundred and one symbols.(Solved)
Write twenty million, four hundred and thirty one thousand, four hundred and one symbols.
Date posted: March 9, 2017. Answers (1)
- Given the number 825 749
State the:(Solved)
Given the number 825 749
a) State the:
i) Place value of digit 5
ii) Total value of digit 7
b) Write the number in words
Date posted: March 9, 2017. Answers (1)
- Given that x and y are estimated as x = 13 +or-0.5 and y = +or-0.2. Calculate the maximum possible value of
a) x -y
b) x + y
c) xy
d) $\frac{x}{y}$(Solved)
Given that x and y are estimated as x = 13 +or-0.5 and y = +or-0.2. Calculate the maximum possible value of
a) x -y
b) x + y
c) xy
d) $\frac{x}{y}$
Date posted: March 8, 2017. Answers (1)
- a) Determine the common ratio and the sixth term of the following geometric sequence.4, -12,36.......
b) Determine the sum of the first eight terms of the series(Solved)
a) Determine the common ratio and the sixth term of the following geometric sequence.4, -12,36.......
b) Determine the sum of the first eight terms of the series
c) The twelve term of an A.P is five times the second term and the sum of the first ten terms of the series is 120. Find the value of the first term and the common difference
Date posted: March 8, 2017. Answers (1)
- The positions of two towns X and Y are given to the nearest degree as X(45oN, 10oW) and Y(45oN, 70oW). Find
(Solved)
The positions of two towns X and Y are given to the nearest degree as X(45oN, 10oW) and Y(45oN, 70oW). Find
a) The difference in longitude
b) The distance between the towns in
ii) Nautical miles (1nm = 1.85 km and R = 6370 km)
ii) the local time at Y is 2.00 p.m
Date posted: March 8, 2017. Answers (1)